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Open Access Research Article

Balancing and Lucas-Balancing hybrid numbers and some identities

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pp. 1293–1304Vol. 45Issue 5July 2024DOI: 10.47974/JIOS-1400XML
Received:
10 Oct 2022
Published Online:
12 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1400
Pages:
1293–1304

Abstract

In this paper, we introduce Balancing and Lucas-Balancing hybrid numbers. We examine some identities of Balancing and Lucas-Balancing hybrid numbers. We give some basic definitions and properties related to them. In addition, we find Binet’s Formula, Cassini’s identity, Catalan’s identity, d’Ocagne identity, generating functions, exponential generating functions of the Balancing and Lucas-Balancing hybrid numbers.

Keywords

Subject Classifications

11B3711B3905A15

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